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Q: Find the sum of the series belov 56n Σ n=1 (2n - 1)(2n + 1}² The sum of the series is

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Q: One of the following is a first-order linear differential equation:

A: Given,

Q: Q-5. The velocity of a particle moving along a line is given by v(t) = 4t3 – 3t? at time t,lf the pa...

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Q: For which values of x does the following series converge? Find the sum of the series when it converg...

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Q: Use various notations for the derivative

A: Solution: There are four popular derivative notations : (1) Leibniz Notation (2) Lagrange Notation (...

Q: Pls help

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Q: week 3 1 of 3  (3) (4)

A: We have to find the arc length of the given curve 

Q: Which one is the answer if x3 + 5x - 20 divided by x - 3. 1. x2 + 3x + 14 + 22/x - 3

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Q: Stuck on question for hours Question in image, thanks :)

A: Let us draw the figure and name it

Q: We want to use properties of limits and algebraic methods to find x2 - 81 lim x--9 x + 9 Note that t...

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Q: Find the particular solution for each initial value problem.

A: Given differential equation is: dy/dx = 4x^3 - 3x^2 + x dy = 4x^3 dx - 3x^2 dx + x dx Integrating bo...

Q: Eliminate the arbitrary constants in theequation

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Q: the differential equation (y2 + 2xy) dx - x 2dy = 0 is not exact, and the factor y-2 makes it exact?...

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Q: Differential Equations Question

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Q: The reflector of a flashlight is in the shape of a parabolic surface.The casting has a diameter of 4...

A: to find the vertex.

Q: For the area under the curve f(x) = x(x+1)(x-7) above the x-axis, and between the vertical lines x=-...

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Q: 23

A: To find the parametric equations for the line that is tangent to the given curve at the given parame...

Q: Using the Fundamental Theorem of Calculus, evaluate the following definite integrals, both eractly a...

A: Given, (a) ∫12x3+3xdx  (b) ∫π4π22sint+costdt 

Q: If 3f(x)dx 6,and 5f(x)dx = 15 ,then 6f(x)dx = (a) 10 (b) 20 (c) 30 (d) 0 (e) 40

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Q: Im x?-x-le Lim メラー2 2. 2-2

A: Given limit is: limx→-2x2-x-4x2-2

Q: Pls help

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Q: Q-6 A R.O. 200 investment in a savings account grows according to A(t) = 200e0.0598t for t > 0 .How ...

A: Given  A(t)= 200e^(0.0598t) Time 10 yrs

Q: Eliminate the arbitrary constants in theequation

A: Our aim is to eliminate the arbitrary constants. 

Q: Given f(x) = 2x² – a +3, find f(2a). Simplify your answer.

A: Given that:      f(x)=2x2-x+3

Q: Maps Translate MAA MATHEMATICAL ASSOCIATION OF AMERICA webwork /xyang_ma440 / sec_-_2.1_quadratic_fu...

A:   A quadratic function has its vertex at the point (1, 6). The function passes through the point (-2...

Q: The particular solution of PVI

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Q: Graph the equation x2 + 4y2 = 4.

A: Given equation:                                       x2+4y2=4   The given equation represents the e...

Q: Let u(r,t) denote the solution of the following initial-boundary value problem du 00 201 uz(0, t) = ...

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Q: Crude oil imports to one country from another for 2009–2013 could be approximated by the following m...

A: Finding the maximum oil imports per day and the time when these imports were maximum from the given ...

Q: Let ƒ(x, y) = ex + ln(x + y). Find the following a. ƒ(1, 0) b. ƒ(2, -1) c. ƒ(0, e) d. ƒ(0, e2)

A: Given function: fx,y=ex+lnx+y a) We have to find ƒ(1, 0) f1,0=e1+ln1+0f1,0=e+ln(1)f1,0=e+0f1,0=e

Q: one of the following is a solution of the differential equation

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Q: write the equation of a parabola that opens upwards and has the vertex (1, 1) that passes through th...

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Q: An object is dropped from a high cliff, and the distance (in feet) it has fallen after t seconds is ...

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Q: Please solve the integrals. Thank you!

A: The given integral is ∫xsec x2 tan x2+xsec2 x2 tan x21+sec2 x2 dx. Rewrite as∫xsec x2 tan x2+xsec2 x...

Q: find the total  derivative dy/dw y= 3x+2w+5z^2 x=4ln(w^2) z=e^(-z)+3x^(-3)   solve complete question...

A: Given, y=3x+2w+5z2x=4ln(w2)z=e-z+3x-3  

Q: Find Order,degree and (Linear or -Non Linear)

A: 1) d2ydx2+3log x dydx + 5exy = 6cos x Order = 2 Degree = 1 This is linear 

Q: Write down the first 4 terms of the following series. Does the series converge, or does it diverge? ...

A: Given series is  ∑n=2∞1ln(n)-1lnn+1 Comparing with the series ∑n=2∞an , we get an = 1ln(n)-1ln(n+1) ...

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is inf...

A: Limit of a function f(x) exists at x=c, if the left-hand limit (L.H.L.) and right-hand limit (R.H.L....

Q: 5. Determine all roots of the equation z4 – 9 = 0, and sketch them on the complex plane.

A: Given that the equation z4-9=0. z22-32=0z2+3z2-3=0           Since a2-b2=a-ba+bz2+3=0,     z2-3=0z2=...

Q: Given: z = 6+ 7i Calculate the following: 1) z-4

A: Given that, z = 6 + 7i We have to find z^(-4).

Q: 1) In order to use the integral test, we must verify that the sequence is decreasing (and positive a...

A: We have to test series is convergent or divergent 

Q: Prove that for a continuous random variable X,E (aX+ b) = aE (X) + b.

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Q: Evaluate the integral

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Q: Write the equation x2 - 4xy + y2 - 3 = 0; θ = 45°in terms of a rotated x′y′-system using θ, the angl...

A: Given: x2 - 4xy + y2 - 3 = 0; θ = 45°

Q: Find the probability of each event when a single card is drawn from an ordinary deck. A face card, g...

A: In an ordinary deck ,there are 52 cards in 4 shapes like diamond,spade,heart and clubs. Here 16 face...

Q: Eliminate the arbitrary constants m and nin the equation. r is a parameter that mustnot be eliminate...

A: We use the basic concept of elimination to form a differential equation. In this given equation , ' ...

Q: Suppose f(x) = vx +2. Evaluate the limit below by using algebra to simplify the difterence quotient ...

A: Since you have asked multiple question, we will solve the first question for you. If youwant any spe...

Q: Solve for x in √x + x^√x =18

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Q: If two fair dice are rolled, find the probabilities of the following results A double, given that th...

A: Consider the given information as If two fair dice are rolled, find the probabilities of the followi...

Q: Please elaborate this process. The rewrite part.

A: Given: The given integral is ∫xsecx2tanx2+xsec2x2tanx21+sec2x2dx  

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.